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( Lishi Fu ),( Chenhui Jin ) 한국인터넷정보학회 2014 KSII Transactions on Internet and Information Syst Vol.8 No.10
At SAC 2004, Junod and Vaudenay designed the FOX family based on the Lai-Massey scheme. They noted that it was impossible to find any useful differential characteristic or linear trail after 8 rounds of FOX64 or FOX128. In this paper, we provide the lower bound of differentially active S-boxes in consecutive rounds of the Lai-Massey scheme that has SPS as its F-function, and we propose the necessary conditions for the reachability of the lower bound. We demonstrate that similar results can be obtained with respect to the lower bound of linearly active S-boxes by proving the duality in the Lai-Massey scheme. Finally, we apply these results to FOX64 and FOX128 and prove that it is impossible to find any useful differential characteristics or linear trail after 6 rounds of FOX64. We provide a more precise security bound for FOX128.
Impossible Differential Cryptanalysis on Lai-Massey Scheme
Rui Guo,Chenhui Jin 한국전자통신연구원 2014 ETRI Journal Vol.36 No.6
The Lai-Massey scheme, proposed by Vaudenay, is amodified structure in the International Data EncryptionAlgorithm cipher. A family of block ciphers, namedFOX, were built on the Lai-Massey scheme. Impossibledifferential cryptanalysis is a powerful technique used torecover the secret key of block ciphers. This paper studiesthe impossible differential cryptanalysis of the Lai-Masseyscheme with affine orthomorphism for the first time. Firstly, we prove that there always exist 4-roundimpossible differentials of a Lai-Massey cipher having abijective F-function. Such 4-round impossible differentialscan be used to help find 4-round impossible differentials ofFOX64 and FOX128. Moreover, we give some sufficientconditions to characterize the existence of 5- , 6- , and 7-round impossible differentials of Lai-Massey ciphershaving a substitution-permutation (SP) F-function, andwe observe that if Lai-Massey ciphers having an SP Ffunctionuse the same diffusion layer and orthomorphismas a FOX64, then there are indeed 5- and 6-roundimpossible differentials. These results indicate that boththe diffusion layer and orthomorphism should be chosencarefully so as to make the Lai-Massey cipher secureagainst impossible differential cryptanalysis.
Jinlong Zhang,Jingkun Lu,Bing Liu,Qiuyue Liu,Fan Jin,Miaojun Zhang,Yerong Liu,Yujun Song,Chenhui Dong,Wanyi Zhang,Ningxu Han,Xu Deng,Feng Xing 한양대학교 세라믹연구소 2019 Journal of Ceramic Processing Research Vol.20 No.S1
Quantification of viable spores is a time taking task due to the lack of rapid, efficient and accurate methods. This studypresented a simple spectrophotometric method for the detection of viable spores based on spore’s property of losing refractivityduring the germination process. By comparison of the results obtained by both spectrophotometric method and colonycounting method, a good linear correlation (R2 = 0.99) was achieved between viable spore concentration and OD loss underappropriate conditions. To avoid interference from ungerminable spores and vegetative cells, a turbidity complementationstrategy of keeping the initial concentration of spore suspensions at the same and relatively lower level was required. Thecalibration equation developed could be used to predict the viable spore yield produced in a series of fermentation experiments. The experimental results proved that this novel spectrophotometric method was sensitive, rapid, and easy to performcompared to conventional colony counting method.